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Finding the Fourth Proportional to 297.24, 407.52 and 291.76

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Solution

The fourth proportional to 297.24, 407.52 and 291.76 is: 400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.24 : 407.52 = 291.76 : x
  2. Step 2: Convert to fraction form
    297.24/407.52 = 291.76/x
  3. Step 3: Cross multiply
    297.24x = 407.52 × 291.76
  4. Step 4: Simplify right side
    297.24x = 118,898.04
  5. Step 5: Solve for x
    x = 118,898.04/297.24
  6. Step 6: Final answer
    x = 400.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.